Find the inner product for (3,5) x (4,-2) and state whether the vectors are perpendicular. a.1; no b.1;yes c.2; no d.2; yes

  c.  2; no

Step-by-step explanation:

The inner product is the sum of the products of corresponding vector components. It is a scalar value, not a vector value.

  (3, 5)·(4, -2) = (3)(4) +(5)(-2) = 12 -10 = 2

When the inner product is non-zero, the vectors are not perpendicular. (The yes answers with a non-zero value can be rejected out of hand.)

The appropriate choice is ...

  2; no

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33

cause it equals more